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Finding the Third Proportional to 67,968,726.75 and 146,767,645.13

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Solution

The third proportional to 67,968,726.75 and 146,767,645.13 is: 316,921,364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,968,726.75 : 146,767,645.13 = 146,767,645.13 : x
  2. Step 2: Convert to fraction form
    67,968,726.75/146,767,645.13 = 146,767,645.13/x
  3. Step 3: Cross multiply
    67,968,726.75x = 146,767,645.13 × 146,767,645.13
  4. Step 4: Simplify right side
    67,968,726.75x = 21,540,741,655,537,936
  5. Step 5: Solve for x
    x = 21,540,741,655,537,936/67,968,726.75
  6. Step 6: Final answer
    x = 316,921,364.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.